{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# World population\n",
    "## Problem 1\n",
    "The world bank has estimates of the world population for the years 1950 up to 2100."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100]\n"
     ]
    }
   ],
   "source": [
    "year = [1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100]\n",
    "print(year)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2.53, 2.57, 2.62, 2.67, 2.71, 2.76, 2.81, 2.86, 2.92, 2.97, 3.03, 3.08, 3.14, 3.2, 3.26, 3.33, 3.4, 3.47, 3.54, 3.62, 3.69, 3.77, 3.84, 3.92, 4.0, 4.07, 4.15, 4.22, 4.3, 4.37, 4.45, 4.53, 4.61, 4.69, 4.78, 4.86, 4.95, 5.05, 5.14, 5.23, 5.32, 5.41, 5.49, 5.58, 5.66, 5.74, 5.82, 5.9, 5.98, 6.05, 6.13, 6.2, 6.28, 6.36, 6.44, 6.51, 6.59, 6.67, 6.75, 6.83, 6.92, 7.0, 7.08, 7.16, 7.24, 7.32, 7.4, 7.48, 7.56, 7.64, 7.72, 7.79, 7.87, 7.94, 8.01, 8.08, 8.15, 8.22, 8.29, 8.36, 8.42, 8.49, 8.56, 8.62, 8.68, 8.74, 8.8, 8.86, 8.92, 8.98, 9.04, 9.09, 9.15, 9.2, 9.26, 9.31, 9.36, 9.41, 9.46, 9.5, 9.55, 9.6, 9.64, 9.68, 9.73, 9.77, 9.81, 9.85, 9.88, 9.92, 9.96, 9.99, 10.03, 10.06, 10.09, 10.13, 10.16, 10.19, 10.22, 10.25, 10.28, 10.31, 10.33, 10.36, 10.38, 10.41, 10.43, 10.46, 10.48, 10.5, 10.52, 10.55, 10.57, 10.59, 10.61, 10.63, 10.65, 10.66, 10.68, 10.7, 10.72, 10.73, 10.75, 10.77, 10.78, 10.79, 10.81, 10.82, 10.83, 10.84, 10.85]\n"
     ]
    }
   ],
   "source": [
    "pop = [2.53, 2.57, 2.62, 2.67, 2.71, 2.76, 2.81, 2.86, 2.92, 2.97, 3.03, 3.08, 3.14, 3.2, 3.26, 3.33, 3.4, 3.47, 3.54, 3.62, 3.69, 3.77, 3.84, 3.92, 4.0, 4.07, 4.15, 4.22, 4.3, 4.37, 4.45, 4.53, 4.61, 4.69, 4.78, 4.86, 4.95, 5.05, 5.14, 5.23, 5.32, 5.41, 5.49, 5.58, 5.66, 5.74, 5.82, 5.9, 5.98, 6.05, 6.13, 6.2, 6.28, 6.36, 6.44, 6.51, 6.59, 6.67, 6.75, 6.83, 6.92, 7.0, 7.08, 7.16, 7.24, 7.32, 7.4, 7.48, 7.56, 7.64, 7.72, 7.79, 7.87, 7.94, 8.01, 8.08, 8.15, 8.22, 8.29, 8.36, 8.42, 8.49, 8.56, 8.62, 8.68, 8.74, 8.8, 8.86, 8.92, 8.98, 9.04, 9.09, 9.15, 9.2, 9.26, 9.31, 9.36, 9.41, 9.46, 9.5, 9.55, 9.6, 9.64, 9.68, 9.73, 9.77, 9.81, 9.85, 9.88, 9.92, 9.96, 9.99, 10.03, 10.06, 10.09, 10.13, 10.16, 10.19, 10.22, 10.25, 10.28, 10.31, 10.33, 10.36, 10.38, 10.41, 10.43, 10.46, 10.48, 10.5, 10.52, 10.55, 10.57, 10.59, 10.61, 10.63, 10.65, 10.66, 10.68, 10.7, 10.72, 10.73, 10.75, 10.77, 10.78, 10.79, 10.81, 10.82, 10.83, 10.84, 10.85]\n",
    "print (pop)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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HAZW6GyoFTeXeV20Ss3qOFtGEYO1HgYcCD5G2UXvFOdNLTYBVLWejnPjdHEFL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\nwvhmbwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6854833d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt \n",
    "\n",
    "plt.plot(year, pop)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Results\n",
    "As you can see first year in which there would be more than 10 million people is around 1960."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problem 2\n",
    "Now, let's start working on the data that professor Hans Rosling used to build his beautiful bubble chart. It was collected in 2007. Two lists are available:\n",
    "* life_exp which contains the life expectancy for each country and\n",
    "* gdp_cap, which contains the GDP per capita, for each country expressed in US Dollar.\n",
    "\n",
    "GDP stands for Gross Domestic Product. It basically represents the size of the economy of a country. Divide this by the population and you get the GDP per capita.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "### Data Loading\n",
    "gdp_cap = [974.58033839999996, 5937.0295259999984, 6223.3674650000003, 4797.2312670000001, 12779.379639999999, 34435.367439999995, 36126.492700000003, 29796.048340000001, 1391.253792, 33692.605080000001, 1441.2848730000001, 3822.137084, 7446.2988029999997, 12569.851769999999, 9065.8008250000003, 10680.792820000001, 1217.0329939999999, 430.07069159999998, 1713.7786860000001, 2042.0952400000001, 36319.235009999997, 706.01653699999997, 1704.0637240000001, 13171.638849999999, 4959.1148540000004, 7006.5804189999999, 986.14787920000003, 277.55185870000003, 3632.5577979999998, 9645.06142, 1544.7501119999999, 14619.222719999998, 8948.1029230000004, 22833.308509999999, 35278.418740000001, 2082.4815670000007, 6025.3747520000015, 6873.2623260000009, 5581.1809979999998, 5728.3535140000004, 12154.089749999999, 641.36952360000021, 690.80557590000001, 33207.0844, 30470.0167, 13206.48452, 752.74972649999995, 32170.37442, 1327.6089099999999, 27538.41188, 5186.0500030000003, 942.6542111, 579.23174299999982, 1201.637154, 3548.3308460000007, 39724.978669999997, 18008.944439999999, 36180.789190000003, 2452.210407, 3540.6515639999998, 11605.71449, 4471.0619059999999, 40675.996350000001, 25523.277099999999, 28569.719700000001, 7320.8802620000015, 31656.068060000001, 4519.4611709999999, 1463.249282, 1593.06548, 23348.139730000006, 47306.989780000004, 10461.05868, 1569.3314419999999, 414.5073415, 12057.49928, 1044.7701259999999, 759.34991009999999, 12451.6558, 1042.581557, 1803.151496, 10956.991120000001, 11977.57496, 3095.7722710000007, 9253.896111, 3820.1752299999998, 823.68562050000003, 944.0, 4811.0604290000001, 1091.359778, 36797.933319999996, 25185.009109999999, 2749.3209649999999, 619.67689239999982, 2013.9773049999999, 49357.190170000002, 22316.192869999999, 2605.94758, 9809.1856360000002, 4172.8384640000004, 7408.9055609999996, 3190.4810160000002, 15389.924680000002, 20509.64777, 19328.709009999999, 7670.122558, 10808.47561, 863.08846390000019, 1598.4350890000001, 21654.83194, 1712.4721360000001, 9786.5347139999994, 862.54075610000018, 47143.179640000002, 18678.314350000001, 25768.257590000001, 926.14106830000003, 9269.6578079999999, 28821.063699999999, 3970.0954069999998, 2602.3949950000001, 4513.4806429999999, 33859.748350000002, 37506.419070000004, 4184.5480889999999, 28718.276839999999, 1107.482182, 7458.3963269999977, 882.9699437999999, 18008.509239999999, 7092.9230250000001, 8458.2763840000007, 1056.3801209999999, 33203.261279999999, 42951.65309, 10611.46299, 11415.805689999999, 2441.5764039999999, 3025.3497980000002, 2280.769906, 1271.211593, 469.70929810000007]\n",
    "life_exp = [43.828000000000003, 76.423000000000002, 72.301000000000002, 42.731000000000002, 75.319999999999993, 81.234999999999999, 79.828999999999994, 75.635000000000005, 64.061999999999998, 79.441000000000003, 56.728000000000002, 65.554000000000002, 74.852000000000004, 50.728000000000002, 72.390000000000001, 73.004999999999995, 52.295000000000002, 49.579999999999998, 59.722999999999999, 50.43, 80.653000000000006, 44.741000000000007, 50.651000000000003, 78.552999999999997, 72.960999999999999, 72.888999999999996, 65.152000000000001, 46.462000000000003, 55.322000000000003, 78.781999999999996, 48.328000000000003, 75.748000000000005, 78.272999999999996, 76.486000000000004, 78.331999999999994, 54.790999999999997, 72.234999999999999, 74.994, 71.338000000000022, 71.878, 51.578999999999994, 58.039999999999999, 52.947000000000003, 79.313000000000002, 80.656999999999996, 56.734999999999999, 59.448, 79.406000000000006, 60.021999999999998, 79.483000000000004, 70.259, 56.006999999999998, 46.388000000000012, 60.915999999999997, 70.198000000000008, 82.207999999999998, 73.338000000000022, 81.757000000000005, 64.698000000000008, 70.650000000000006, 70.963999999999999, 59.545000000000002, 78.885000000000005, 80.745000000000005, 80.546000000000006, 72.566999999999993, 82.602999999999994, 72.534999999999997, 54.109999999999999, 67.296999999999997, 78.623000000000005, 77.588000000000022, 71.992999999999995, 42.591999999999999, 45.677999999999997, 73.951999999999998, 59.443000000000012, 48.302999999999997, 74.241, 54.466999999999999, 64.164000000000001, 72.801000000000002, 76.194999999999993, 66.802999999999997, 74.543000000000006, 71.164000000000001, 42.082000000000001, 62.069000000000003, 52.906000000000013, 63.784999999999997, 79.762, 80.203999999999994, 72.899000000000001, 56.866999999999997, 46.859000000000002, 80.195999999999998, 75.640000000000001, 65.483000000000004, 75.536999999999978, 71.751999999999995, 71.421000000000006, 71.688000000000002, 75.563000000000002, 78.097999999999999, 78.746000000000024, 76.441999999999993, 72.475999999999999, 46.241999999999997, 65.528000000000006, 72.777000000000001, 63.061999999999998, 74.001999999999995, 42.568000000000012, 79.971999999999994, 74.662999999999997, 77.926000000000002, 48.158999999999999, 49.338999999999999, 80.941000000000003, 72.396000000000001, 58.555999999999997, 39.613, 80.884, 81.701000000000022, 74.143000000000001, 78.400000000000006, 52.517000000000003, 70.616, 58.420000000000002, 69.819000000000003, 73.923000000000002, 71.777000000000001, 51.542000000000002, 79.424999999999997, 78.242000000000004, 76.384, 73.747, 74.248999999999995, 73.421999999999997, 62.698, 42.383999999999993, 43.487000000000002]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Line Plot\n",
    "Using simple plot to see if we can understand the data. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "469.70929810000007\n",
      "43.487\n"
     ]
    }
   ],
   "source": [
    "# Print the last item of gdp_cap and life_exp\n",
    "print(gdp_cap[-1])\n",
    "print(life_exp[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WYd8+hCq42LJ8eQyGNWrgIb95EzPrX4pohZcLF7QZErawZYvx+8nJrhX2URSQ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f685470acf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Plotting Data \n",
    "## using Simple plot to understand the data\n",
    "import matplotlib.pyplot as plt \n",
    "\n",
    "# Make a line plot, gdp_cap on the x-axis, life_exp on the y-axis\n",
    "plt.plot(gdp_cap, life_exp)\n",
    "\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8/rtvufLMhhEfuXMnzd0CuMuqO90qt97q7mw7ejSb6Bl27LCfu3WjOAEYaLpi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9Dp09CqtGtn3aPTrh00HbdumXvBrNz/kSMgEfpsHleZZ3v28AwdWa/jzYYkH57erCQf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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6854c8ccc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make a line plot, gdp_cap on the y-axis, life_exp on the x-axis\n",
    "plt.plot(life_exp, gdp_cap)\n",
    "\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, by using line plot we cannot get the clear picture of the data. So using line plot is not always usefull."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scatter Plot\n",
    "Using scatter plot to see if we can understand the data. When you have a time scale along the horizontal axis, the line plot is your friend. But in many other cases, when you're trying to assess if there's a correlation between two variables, for example, the scatter plot is the better choice. \n",
    "Let's take the same example and try to plot GDP and Life expectancy again but now using scatter plots.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[31.889923, 3.600523, 33.333216, 12.420476, 40.301927, 20.434176, 8.199783, 0.708573, 150.448339, 10.392226, 8.078314, 9.119152, 4.552198, 1.639131, 190.010647, 7.322858, 14.326203, 8.390505, 14.131858, 17.696293, 33.390141, 4.369038, 10.238807, 16.284741, 1318.683096, 44.22755, 0.71096, 64.606759, 3.80061, 4.133884, 18.013409, 4.493312, 11.416987, 10.228744, 5.46812, 0.496374, 9.319622, 13.75568, 80.264543, 6.939688, 0.551201, 4.906585, 76.511887, 5.23846, 61.083916, 1.454867, 1.688359, 82.400996, 22.873338, 10.70629, 12.572928, 9.947814, 1.472041, 8.502814, 7.483763, 6.980412, 9.956108, 0.301931, 1110.396331, 223.547, 69.45357, 27.499638, 4.109086, 6.426679, 58.147733, 2.780132, 127.467972, 6.053193, 35.610177, 23.301725, 49.04479, 2.505559, 3.921278, 2.012649, 3.193942, 6.036914, 19.167654, 13.327079, 24.821286, 12.031795, 3.270065, 1.250882, 108.700891, 2.874127, 0.684736, 33.757175, 19.951656, 47.76198, 2.05508, 28.90179, 16.570613, 4.115771, 5.675356, 12.894865, 135.031164, 4.627926, 3.204897, 169.270617, 3.242173, 6.667147, 28.674757, 91.077287, 38.518241, 10.642836, 3.942491, 0.798094, 22.276056, 8.860588, 0.199579, 27.601038, 12.267493, 10.150265, 6.144562, 4.553009, 5.447502, 2.009245, 9.118773, 43.997828, 40.448191, 20.378239, 42.292929, 1.133066, 9.031088, 7.554661, 19.314747, 23.174294, 38.13964, 65.068149, 5.701579, 1.056608, 10.276158, 71.158647, 29.170398, 60.776238, 301.139947, 3.447496, 26.084662, 85.262356, 4.018332, 22.211743, 11.746035, 12.311143]\n"
     ]
    }
   ],
   "source": [
    "pop = [31.889923, 3.6005229999999999, 33.333216, 12.420476000000001, 40.301926999999999, 20.434176000000001, 8.199783, 0.70857300000000001, 150.448339, 10.392226000000001, 8.0783140000000007, 9.1191519999999997, 4.5521979999999997, 1.6391309999999999, 190.01064700000001, 7.3228580000000001, 14.326203, 8.3905049999999992, 14.131857999999999, 17.696293000000001, 33.390141, 4.3690379999999998, 10.238807, 16.284741, 1318.683096, 44.227550000000001, 0.71096000000000004, 64.606758999999997, 3.8006099999999998, 4.1338840000000001, 18.013408999999999, 4.4933120000000004, 11.416987000000001, 10.228744000000001, 5.4681199999999999, 0.49637399999999998, 9.3196220000000007, 13.75568, 80.264543000000003, 6.9396880000000003, 0.55120100000000005, 4.9065849999999998, 76.511887000000002, 5.2384599999999999, 61.083916000000002, 1.4548669999999999, 1.6883589999999999, 82.400996000000006, 22.873338, 10.706289999999999, 12.572927999999999, 9.9478139999999993, 1.4720409999999999, 8.5028140000000008, 7.4837629999999997, 6.9804120000000003, 9.9561080000000004, 0.301931, 1110.3963309999999, 223.547, 69.453569999999999, 27.499638000000001, 4.1090859999999996, 6.426679, 58.147733000000002, 2.780132, 127.467972, 6.0531930000000003, 35.610177, 23.301725000000001, 49.044789999999999, 2.5055589999999999, 3.921278, 2.0126490000000001, 3.1939419999999998, 6.0369140000000003, 19.167653999999999, 13.327078999999999, 24.821286000000001, 12.031795000000001, 3.2700650000000002, 1.250882, 108.700891, 2.8741270000000001, 0.68473600000000001, 33.757174999999997, 19.951656, 47.761980000000001, 2.0550799999999998, 28.901789999999998, 16.570613000000002, 4.1157709999999996, 5.6753559999999998, 12.894864999999999, 135.03116399999999, 4.6279260000000004, 3.2048969999999999, 169.27061699999999, 3.2421730000000002, 6.6671469999999999, 28.674757, 91.077286999999998, 38.518241000000003, 10.642836000000001, 3.942491, 0.79809399999999997, 22.276056000000001, 8.8605879999999999, 0.19957900000000001, 27.601037999999999, 12.267493, 10.150264999999999, 6.1445619999999996, 4.5530090000000003, 5.4475020000000001, 2.0092449999999999, 9.1187729999999991, 43.997827999999998, 40.448191000000001, 20.378239000000001, 42.292929000000001, 1.1330659999999999, 9.0310880000000004, 7.5546610000000003, 19.314747000000001, 23.174294, 38.13964, 65.068149000000005, 5.7015789999999997, 1.056608, 10.276158000000001, 71.158647000000002, 29.170397999999999, 60.776237999999999, 301.13994700000001, 3.4474960000000001, 26.084662000000002, 85.262355999999997, 4.018332, 22.211742999999998, 11.746034999999999, 12.311143]\n",
    "print(pop)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MEWNMZ6zX40fs+hRPAquA112VZ4D7jDFrsSfmYWwK4o+zELkfoEmTJiQnJxeY3gVFxYoV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\nRaArGSkgn1Iq6ZaXTvTGdX8ENzzDuFbBggU9Px0A7kz2rF6yW7hw4Qy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MbC4yMlLQk+3q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Mxy40TEzMzMcuNExMzMzHLjRMTMzMxy40TEzMzMcuNExMzMzHLjRMTMzMxy40TEzMzMcuNExMzM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\nzMzMcvM/hN2YPnJUvYYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6854b44e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import numpy as np\n",
    "import numpy as np\n",
    "\n",
    "# Store pop as a numpy array: np_pop\n",
    "np_pop = np.array(pop)\n",
    "\n",
    "# Double np_pop\n",
    "np_pop = np_pop * 2\n",
    "\n",
    "# Update: set s argument to np_pop\n",
    "plt.scatter(gdp_cap, life_exp, s = np_pop)\n",
    "\n",
    "# Previous customizations\n",
    "plt.xscale('log') \n",
    "plt.xlabel('GDP per Capita [in USD]')\n",
    "plt.ylabel('Life Expectancy [in years]')\n",
    "plt.title('World Development in 2007')\n",
    "plt.xticks([1000, 10000, 100000],['1k', '10k', '100k'])\n",
    "\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Adding color to scatter plot\n",
    "col = ['red', 'green', 'blue', 'blue', 'yellow', 'black', 'green', 'red', 'red', 'green', 'blue', 'yellow', 'green', 'blue', 'yellow', 'green', 'blue', 'blue', 'red', 'blue', 'yellow', 'blue', 'blue', 'yellow', 'red', 'yellow', 'blue', 'blue', 'blue', 'yellow', 'blue', 'green', 'yellow', 'green', 'green', 'blue', 'yellow', 'yellow', 'blue', 'yellow', 'blue', 'blue', 'blue', 'green', 'green', 'blue', 'blue', 'green', 'blue', 'green', 'yellow', 'blue', 'blue', 'yellow', 'yellow', 'red', 'green', 'green', 'red', 'red', 'red', 'red', 'green', 'red', 'green', 'yellow', 'red', 'red', 'blue', 'red', 'red', 'red', 'red', 'blue', 'blue', 'blue', 'blue', 'blue', 'red', 'blue', 'blue', 'blue', 'yellow', 'red', 'green', 'blue', 'blue', 'red', 'blue', 'red', 'green', 'black', 'yellow', 'blue', 'blue', 'green', 'red', 'red', 'yellow', 'yellow', 'yellow', 'red', 'green', 'green', 'yellow', 'blue', 'green', 'blue', 'blue', 'red', 'blue', 'green', 'blue', 'red', 'green', 'green', 'blue', 'blue', 'green', 'red', 'blue', 'blue', 'green', 'green', 'red', 'red', 'blue', 'red', 'blue', 'yellow', 'blue', 'green', 'blue', 'green', 'yellow', 'yellow', 'yellow', 'red', 'red', 'red', 'blue', 'blue']\n",
    "print(col)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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G8eKLtZ9U3zb2tT/57eu2jU3fmHR7S9PQ+oP5eTU3/V1r3vT6u1Y//V1r3vQH8ruWkZHB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\n/wHbURQCsckxhgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f685483b588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Making data more readable\n",
    "# Specify c and alpha inside plt.scatter()\n",
    "plt.scatter(x = gdp_cap, y = life_exp, s = np.array(pop) * 2, c = col,alpha=0.8)\n",
    "\n",
    "# Previous customizations\n",
    "plt.xscale('log') \n",
    "plt.xlabel('GDP per Capita [in USD]')\n",
    "plt.ylabel('Life Expectancy [in years]')\n",
    "plt.title('World Development in 2007')\n",
    "plt.xticks([1000,10000,100000], ['1k','10k','100k'])\n",
    "\n",
    "# Show the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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r1iz69u17Rtm6deumj0Mfhz6OdI7DNE3at29P37596d69O00aN+bS+vWpVqEC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dLl+a+ZMaYRMBeIA070vBsE/GGM6S4iWT8AVyqMYmLcHD++P9/HB+f+OEC5crVDimPBggXYdjV8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\nJX3fqb4EzgWuKYS41NktN+3qd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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f68546c99e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter plot\n",
    "plt.scatter(x = gdp_cap, y = life_exp, s = np.array(pop) * 2, c = col, alpha = 0.8)\n",
    "\n",
    "# Previous customizations\n",
    "plt.xscale('log') \n",
    "plt.xlabel('GDP per Capita [in USD]')\n",
    "plt.ylabel('Life Expectancy [in years]')\n",
    "plt.title('World Development in 2007')\n",
    "plt.xticks([1000,10000,100000], ['1k','10k','100k'])\n",
    "\n",
    "# Additional customizations\n",
    "plt.text(1550, 71, 'India')\n",
    "plt.text(5700, 80, 'China')\n",
    "\n",
    "# Add grid() call\n",
    "plt.grid(True)\n",
    "\n",
    "# Show the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the previous exercise, you saw that that the higher GDP usually corresponds to a higher life expectancy. In other words, there is a positive correlation.\n",
    "\n",
    "Do you think there's a relationship between population and life expectancy of a country? The list life_exp from the previous exercise is already available.pop  listing the corresponding populations for the countries in 2007. The populations are in millions of people.\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[31.889923, 3.600523, 33.333216, 12.420476, 40.301927, 20.434176, 8.199783, 0.708573, 150.448339, 10.392226, 8.078314, 9.119152, 4.552198, 1.639131, 190.010647, 7.322858, 14.326203, 8.390505, 14.131858, 17.696293, 33.390141, 4.369038, 10.238807, 16.284741, 1318.683096, 44.22755, 0.71096, 64.606759, 3.80061, 4.133884, 18.013409, 4.493312, 11.416987, 10.228744, 5.46812, 0.496374, 9.319622, 13.75568, 80.264543, 6.939688, 0.551201, 4.906585, 76.511887, 5.23846, 61.083916, 1.454867, 1.688359, 82.400996, 22.873338, 10.70629, 12.572928, 9.947814, 1.472041, 8.502814, 7.483763, 6.980412, 9.956108, 0.301931, 1110.396331, 223.547, 69.45357, 27.499638, 4.109086, 6.426679, 58.147733, 2.780132, 127.467972, 6.053193, 35.610177, 23.301725, 49.04479, 2.505559, 3.921278, 2.012649, 3.193942, 6.036914, 19.167654, 13.327079, 24.821286, 12.031795, 3.270065, 1.250882, 108.700891, 2.874127, 0.684736, 33.757175, 19.951656, 47.76198, 2.05508, 28.90179, 16.570613, 4.115771, 5.675356, 12.894865, 135.031164, 4.627926, 3.204897, 169.270617, 3.242173, 6.667147, 28.674757, 91.077287, 38.518241, 10.642836, 3.942491, 0.798094, 22.276056, 8.860588, 0.199579, 27.601038, 12.267493, 10.150265, 6.144562, 4.553009, 5.447502, 2.009245, 9.118773, 43.997828, 40.448191, 20.378239, 42.292929, 1.133066, 9.031088, 7.554661, 19.314747, 23.174294, 38.13964, 65.068149, 5.701579, 1.056608, 10.276158, 71.158647, 29.170398, 60.776238, 301.139947, 3.447496, 26.084662, 85.262356, 4.018332, 22.211743, 11.746035, 12.311143]\n"
     ]
    }
   ],
   "source": [
    "pop = [31.889923, 3.6005229999999999, 33.333216, 12.420476000000001, 40.301926999999999, 20.434176000000001, 8.199783, 0.70857300000000001, 150.448339, 10.392226000000001, 8.0783140000000007, 9.1191519999999997, 4.5521979999999997, 1.6391309999999999, 190.01064700000001, 7.3228580000000001, 14.326203, 8.3905049999999992, 14.131857999999999, 17.696293000000001, 33.390141, 4.3690379999999998, 10.238807, 16.284741, 1318.683096, 44.227550000000001, 0.71096000000000004, 64.606758999999997, 3.8006099999999998, 4.1338840000000001, 18.013408999999999, 4.4933120000000004, 11.416987000000001, 10.228744000000001, 5.4681199999999999, 0.49637399999999998, 9.3196220000000007, 13.75568, 80.264543000000003, 6.9396880000000003, 0.55120100000000005, 4.9065849999999998, 76.511887000000002, 5.2384599999999999, 61.083916000000002, 1.4548669999999999, 1.6883589999999999, 82.400996000000006, 22.873338, 10.706289999999999, 12.572927999999999, 9.9478139999999993, 1.4720409999999999, 8.5028140000000008, 7.4837629999999997, 6.9804120000000003, 9.9561080000000004, 0.301931, 1110.3963309999999, 223.547, 69.453569999999999, 27.499638000000001, 4.1090859999999996, 6.426679, 58.147733000000002, 2.780132, 127.467972, 6.0531930000000003, 35.610177, 23.301725000000001, 49.044789999999999, 2.5055589999999999, 3.921278, 2.0126490000000001, 3.1939419999999998, 6.0369140000000003, 19.167653999999999, 13.327078999999999, 24.821286000000001, 12.031795000000001, 3.2700650000000002, 1.250882, 108.700891, 2.8741270000000001, 0.68473600000000001, 33.757174999999997, 19.951656, 47.761980000000001, 2.0550799999999998, 28.901789999999998, 16.570613000000002, 4.1157709999999996, 5.6753559999999998, 12.894864999999999, 135.03116399999999, 4.6279260000000004, 3.2048969999999999, 169.27061699999999, 3.2421730000000002, 6.6671469999999999, 28.674757, 91.077286999999998, 38.518241000000003, 10.642836000000001, 3.942491, 0.79809399999999997, 22.276056000000001, 8.8605879999999999, 0.19957900000000001, 27.601037999999999, 12.267493, 10.150264999999999, 6.1445619999999996, 4.5530090000000003, 5.4475020000000001, 2.0092449999999999, 9.1187729999999991, 43.997827999999998, 40.448191000000001, 20.378239000000001, 42.292929000000001, 1.1330659999999999, 9.0310880000000004, 7.5546610000000003, 19.314747000000001, 23.174294, 38.13964, 65.068149000000005, 5.7015789999999997, 1.056608, 10.276158000000001, 71.158647000000002, 29.170397999999999, 60.776237999999999, 301.13994700000001, 3.4474960000000001, 26.084662000000002, 85.262355999999997, 4.018332, 22.211742999999998, 11.746034999999999, 12.311143]\n",
    "print(pop)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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Bh/PS4zKT+RjmgY9mwlGAilmJiEjpySlwcM5tAT4JtAG/Br4KLHbO/SipzS3A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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6854ab0fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Build Scatter plot\n",
    "plt.scatter(pop, life_exp)\n",
    "\n",
    "\n",
    "# Show plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problem 3\n",
    "\n",
    "### Histrograms\n",
    "**Histrograms** are really usefull to give the bigger picture. life_exp, the list containing data on the life expectancy for different countries in 2007, is available in your Python shell.\n",
    "\n",
    "To see how life expectancy in different countries is distributed, let's create a histogram of life_exp.\n",
    "\n",
    "matplotlib.pyplot is already available as plt.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fRmGSJGn8DRI0fgd8ctiFSJKk+WfWQaOqntFFIZIkaf4ZZI6GJEnSjAzyULWV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\nk+Q/k2zRs02SvCzJL9r6zkz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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f685682bd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create histogram of life_exp data\n",
    "plt.hist(life_exp)\n",
    "\n",
    "plt.title('Word Life Expectancy')\n",
    "plt.xlabel('Age of people')\n",
    "plt.ylabel('Number of people')\n",
    "\n",
    "# Display histogram\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You're going to work on the scatter plot with world development data: GDP per capita on the x-axis (logarithmic scale), life expectancy on the y-axis. The code for this plot is available in the script.\n",
    "\n",
    "As a first step, let's add axis labels and a title to the plot. You can do this with the xlabel(), ylabel() and title() functions, available in matplotlib.pyplot. This sub-package is already imported as plt.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
